The method of parametric adaptation of the check polynomials of the component recursive systematic convulsion code turbo code
DOI:
https://doi.org/10.32347/2411-4049.2024.2.157-172Keywords:
corrective codes, turbo codes, wireless data transmission systems, likelihood functions, adaptationAbstract
The article is devoted to increasing the efficiency of the functioning of wireless information transmission systems due to the adaptation of the verification polynomials of the component recursive systematic convolutional turbo code by solving the optimization problem using the gradient method. After the appearance of the extremely important work of K. Shannon, huge efforts have been made to find new transmission methods in order to approach the bandwidth of the channel. Channel coding is one of the main methods that enables such operation at almost full bandwidth. The probability of a white error of information decoding is chosen as the objective function. To calculate the probability of a bit error in information decoding, it is proposed to use cyclic codes. Adaptation schemes of these codes are used to improve the characteristics of information reliability. At the same time, during adaptation, in the vast majority of works, only one parameter changes – the coding speed, which does not fully increase the effectiveness of corrective coding schemes. The purpose of the article is to increase the efficiency of wireless information transmission systems by adapting the verification polynomials of the component recursive systematic convolutional turbo code by solving the optimization problem. The article consists of an introduction, which highlights the problem, analyzes the latest research and publications on this topic, and formulates the purpose of the article. The results of the research are shown, conclusions and prospects for further research are drawn. The article ends with a list of used sources. As a result of the proposed method, the effective number of verification polynomials of the RSCC turbo code, which were found using the method for the channel with additive white Gaussian noise for different sizes of the input data block, is given. We consider the direction of further research to expand the search range to take into account a larger number of parameters of turbo codes during adaptation, while the following can be foreseen: the number of bits in a block, types of interleavers, decoding algorithms, decoding iterations, etc.
References
Wan, L., Anthony C.K., Soong, Jianghua, L., Yong, W., Classon, B., Xiao, W., Mazzarese, D., Zhao, Yang, & Saboorian, Т. (2021). 5G System Design: An End to End Perspective. Springer. https://doi.org/10.1007/978-3-030-22236-9
Neir, P. (2021). Securing 5G and Evolving Architectures. Addison-Wesley Professional. https://www.amazon.com/Securing-Evolving-Architectures-Pramod-Nair/dp/0137457936
Hassan, S., Orel, A., & Islam, K. (2022). A Network Architects Guide to 5G. Addison-Wesley Professional. https://www.amazon.com/Network-Architects-Guide-5g/dp/0137376847
Jin, J., Xiao, C., Chen, W., Member, S. and Wu, Y. (2019). Channel-Statistics Based Hybrid Precoding for Millimeter-Wave MIMO Systems With Dynamic Subarrays. IEEE Trans. Commun., 67, 3991-4003. https://doi.org/10.1109/TCOMM.2019.2899628
Huang, H. (2020). Deep learning for physical-layer 5G wireless techniques: Opportunities, challenges and solutions. IEEE Wirel. Commun., 27, 214–222. https://doi.org/10.1109/MWC.2019.1900027
Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, 27 (3), 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
Azougaghe, E., Farchane, A., Said, S., & Belkasmi, M. (2022). Turbo decoding of concatenated codes based on RS codes using adapted scaling factors. Infocommunications Journal, 14 (1), 11-16. https://doi.org/10.36244/ICJ.2022.1.2
Kovaci, M., Balta, H., Baynast, A., & Nafornita, M. (2007). Performance Comparison of Punctured Turbo Codes and Multi Binary Turbo Codes. In 2007 International Symposium on Signals, Circuits and Systems (IEEE Xplore). https://doi.org/10.1109/ISSCS.2007.4292768
Vaz, A., Nayak, G., Nayak, D., & Hegde, N. (2022). Decoding of Turbo Code and Polar Code using Deep Learning for Visible Light Communication. Journal of Engineering Science and Technology, 17 (4), 2776-2787. https://jestec.taylors.edu.my/Vol%2017%20Issue%204%20August%202022/17_4_36.pdf
Berrou, C., Glavieux, A., & Thitimajshima, P. (1993). Near Shannon limit error-correcting coding and decoding: turbo-codes. In Proc. Int. Conf. On Commun., ICC-93, Geneva. 1993, May, (pp. 1064-1070). https://doi.org/10.1109/ICC.1993.397441
Xiang-Gen, X. (2024). Understanding turbo codes: A signal processing study. Journal of Information and Intelligence, 2, 1-13. https://doi.org/10.1016/j.jiixd.2023.10.003
Takeuchi, K., Muller, RR., & Vehkapera, M. (2011). A Construction of Turbo-Like Codes for Iterative Channel Estimation Based on Probabilistic Bias. In 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, (pp. 1-5). https://doi.org/10.1109/GLOCOM.2011.6133738
Jin, X., Eckford, AW, & Fuja, TE. (2004). Analysis of Joint Channel Estimation and LDPC Decoding on Block Fading Channels. In International Symposium on Information Theory and its Applications, ISITA2004, (pp. 679-684). https://doi.org/10.1109/ISIT.2004.1365412
Berrou, C. (2010). Codes and Turbo Codes. Springer. https://www.scribd.com/document/511006154/Codes-and-Turbo-Codes-C-Berrou-Springer-2010-BBS
Vucetic, B., & Yuan, J. (2000). Turbo Codes. Principles and Applications. Springer Science. https://doi.org/10.1007/978-1-4615-4469-2
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